二维Newton-Boussinesq方程周期初值问题经典解的整体存在性  

Global Existence of Solutions of the Periodic Initial Value Problems for Two-Dimensional Newton-Boussinesq Equations

作　　者：房少梅[1] 金玲玉[1] 郭柏灵[2] 

机构地区：[1]华南农业大学数学系,广州510642 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《应用数学和力学》2010年第4期379-388,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(1087107510926101);广东省自然科学基金资助项目(9451064201003736;9151064201000040)

摘　　要：研究一类二维Newton-Boussinesq方程的周期初值问题,将方程转化为积分方程,用不动点原理得到解的局部存在性,用能量估计的方法证明经典解的整体存在性.A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations was investigated. First the Newton-Boussinesq equations were turned into the equivalent integral equations, then by the iteration methods the local existence of the solutions was obtained. Finally using the method of a priori estimates, the global existence of the solutions was proved.

关 键 词：非线性二维Newton—Boussinesq方程 经典解 先验估计 

分 类 号：O241.8[理学—计算数学]